Force And Torque Due To Magnetic Field

• Force on current carrying conductors in a magnetic field

Introduction

• Magnetic field and its effect on moving charges
• Force experienced by a current carrying conductor in a magnetic field
• Concept of Lorentz force

Magnetic Field

• Definition of magnetic field
• Magnetic field lines and their representation
• Magnetic field strength and its units
• Magnetic field due to a long straight conductor
• Magnetic field due to a circular loop

Magnetic Force on Current-Carrying Conductor

• Force on a current carrying conductor in a magnetic field
• Right-hand rule to determine the direction of force
• Formula for magnetic force on a conductor in a magnetic field
• Applications of magnetic force in electric motors and generators

Magnetic Field and Torque

• Torque on a current loop in a magnetic field
• Right-hand rule to determine the direction of torque
• Formula for torque on a current loop in a magnetic field
• Applications of torque on a current loop in electric motors

Magnetic Field and Magnetic Dipole

• Magnetic dipole moment of a current loop
• Definition and calculation of magnetic dipole moment
• Relationship between magnetic dipole moment and torque

11. Magnetic Field and Magnetic Flux

• Definition of magnetic flux
• Magnetic flux through a surface
• Relationship between magnetic flux and magnetic field
• Calculation of magnetic flux using the dot product
• Examples of calculating magnetic flux through different surfaces

12. Faraday’s Law of Electromagnetic Induction

• Introduction to electromagnetic induction
• Faraday’s experiments and observations
• Faraday’s law of electromagnetic induction
• Relationship between magnetic flux and induced emf
• Lenz’s law and the direction of induced current

13. Induced Electric Field and Motional EMF

• Induced electric field and its direction
• Calculation of induced electric field using Faraday’s law
• Concept of motional emf
• Calculation of motional emf
• Applications of motional emf in generators and transformers

14. Magnetic Forces on Moving Charges

• Magnetic force on a moving charge
• Right-hand rule to determine the direction of magnetic force
• Magnetic force on a charged particle in a magnetic field
• Motion of charged particles in magnetic fields
• Applications of magnetic forces in mass spectrometers

15. Magnetic Field in a Solenoid

• Definition and construction of a solenoid
• Magnetic field inside a solenoid
• Magnetic field outside a solenoid
• Calculation of magnetic field strength in a solenoid
• Applications of solenoids in electromagnets

16. Magnetic Field in a Toroid

• Definition and construction of a toroid
• Magnetic field inside a toroid
• Calculation of magnetic field strength in a toroid
• Relationship between magnetic field in a toroid and solenoid
• Applications of toroids in transformers and magnetic storage devices

17. Magnetic Force on a Moving Charge in a Magnetic Field

• Equation for the magnetic force on a moving charge
• Magnetic force acting as centripetal force
• Calculation of radius of curvature for a charged particle in a magnetic field
• Cyclotron motion of charged particles
• Applications of magnetic force in particle accelerators

18. Magnetic Field due to a Straight Conductor Carrying Current

• Biot-Savart law and its derivation
• Calculation of magnetic field due to a straight conductor
• Relationship between magnetic field and distance from the conductor
• Magnetic field lines around a straight conductor
• Applications of magnetic field due to straight conductors

19. Magnetic Field due to a Current Loop

• Ampere’s circuital law and its derivation
• Calculation of magnetic field due to a current loop
• Relationship between magnetic field and distance from the loop
• Magnetic field lines around a current loop
• Applications of magnetic field due to current loops

20. Magnetic Field due to a Solenoid

• Calculation of magnetic field inside and outside a solenoid using Ampere’s law
• Relationship between magnetic field and distance from the solenoid
• Magnetic field lines around a solenoid
• Comparison of magnetic field due to a solenoid and straight conductor
• Applications of magnetic field due to solenoids and electromagnets

21. Magnetic Force on a Current-Carrying Wire

• Definition of magnetic force on a current-carrying wire
• Formula for calculating magnetic force on a current-carrying wire
• Direction of magnetic force using the right-hand rule
• Examples of calculating magnetic force on a wire
• Applications of magnetic force on current-carrying wires in devices such as speakers

22. Torque on a Current Loop in a Magnetic Field

• Definition of torque on a current loop in a magnetic field
• Formula for calculating torque on a current loop
• Determining the direction of torque using the right-hand rule
• Examples of calculating torque on current loops
• Applications of torque on current loops in devices like galvanometers

23. Magnetic Field Produced by a Straight Current-Carrying Wire

• Biot-Savart law and its derivation for calculating magnetic field
• Magnetic field produced by a straight current-carrying wire
• Relationship between magnetic field strength and distance from the wire
• Magnetic field lines around a straight current-carrying wire
• Applications of magnetic fields produced by straight wires, such as in transformers

24. Magnetic Field Produced by a Circular Current Loop

• Ampere’s circuital law and its application to circular loops
• Magnetic field produced by a circular current loop
• Relationship between magnetic field strength and distance from the loop’s center
• Magnetic field lines around a circular current loop
• Applications of magnetic fields produced by circular current loops, such as in MRI machines

25. Magnetic Field Produced by a Solenoid

• Calculation of magnetic field inside a solenoid using Ampere’s law
• Relationship between magnetic field strength and distance from the solenoid’s center
• Magnetic field lines inside and outside a solenoid
• Comparison of magnetic fields produced by solenoids and individual wires/loops
• Applications of magnetic fields produced by solenoids, such as in electromagnets

26. Magnetic Field Produced by a Toroid

• Magnetic field produced by a toroid using Ampere’s law
• Relationship between magnetic field strength and distance from the toroid’s center
• Magnetic field lines inside and outside a toroid
• Comparison of magnetic fields produced by toroids and solenoids
• Applications of magnetic fields produced by toroids in transformers and particle accelerators

27. Magnetic Force on a Charged Particle in a Magnetic Field

• Magnetic force on a charged particle moving in a magnetic field
• Formula for calculating magnetic force on a charged particle
• Determining the direction of magnetic force using the right-hand rule
• Examples of calculating magnetic force on charged particles
• Applications of magnetic force on charged particles, such as in cyclotrons

28. Magnetic Field and Current in a Circular Loop

• Relationship between magnetic field and current in a circular loop
• Calculation of magnetic field strength at the center of a current-carrying loop
• Relationship between magnetic field strength and radius of the loop
• Examples of calculating magnetic field strength in circular loops
• Applications of circular loops in devices like electric motors

29. Magnetic Flux and Faraday’s Law

• Definition of magnetic flux and its calculation
• Faraday’s law of electromagnetic induction
• Relationship between magnetic flux and induced electromotive force (emf)
• Calculation of induced emf using Faraday’s law
• Applications of Faraday’s law in generators and transformers

30. Electromagnetic Induction and Lenz’s Law

• Introduction to electromagnetic induction
• Lenz’s law and its application in determining the direction of induced current
• Mutual induction and self-induction in coils
• Induced emf and induced current in circuits
• Real-life applications of electromagnetic induction, such as in power generation